Question

Solve for
3 ^2x = 27

Answer 1

x=3

Answer 2

do you want an explanation?

Answer 3

Yes, please

Answer 4

x is not 3
that would imply 3^6 = 26

Answer 5

do you know what 3 to the second power is?

Answer 6

It is 9.

Answer 7

x=4.5?

Answer 8

@zzr0ck3r

Answer 9

It's not 4.5.. It said it was wrong

Answer 10

\(3^{2x}=27\implies \log_3(3^{2x})=\log_3(27)\implies2x\log_3(3)=3\\\implies2x=3\implies x =\frac{3}{2}\)

Answer 11

@zzr0ck3r So you're saying x= 1.5?

Answer 12

@Soniahegner I thought it was 3^2x not 3^ 2x sorry

Answer 13

It's okay, sorry for confusing you.

Answer 14

oh i c.

Answer 15

get used to writing things in fraction form, not decimal form. unless you are asked for the decimal.

Answer 16

wait can you explain this to me? lol How would that equal 27? @zzr0ck3r

Answer 17

if \(x=\frac{3}{2
}\)
then

\(3^{2x}=3^{2\frac{3}{2}}=3^3=\large27\)

Answer 18

Oh that makes sense. When I was multiplying 2 by 3/2 and got 3, I multiplied 3 by 3 by accident. Thanks

Answer 19

for explaining